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Finding the Third Proportional to 14,115.52 and 30,691.41

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Solution

The third proportional to 14,115.52 and 30,691.41 is: 66,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.52 : 30,691.41 = 30,691.41 : x
  2. Step 2: Convert to fraction form
    14,115.52/30,691.41 = 30,691.41/x
  3. Step 3: Cross multiply
    14,115.52x = 30,691.41 × 30,691.41
  4. Step 4: Simplify right side
    14,115.52x = 941,962,417.60
  5. Step 5: Solve for x
    x = 941,962,417.60/14,115.52
  6. Step 6: Final answer
    x = 66,732.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.